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9997155 = 335771149
BaseRepresentation
bin100110001000…
…101101100011
3200210220112000
4212020231203
510024402110
6554135043
7150655140
oct46105543
920726460
109997155
115709013
123421483
1320c049c
1414833c7
15d271c0
hex988b63

9997155 has 64 divisors (see below), whose sum is σ = 20736000. Its totient is φ = 4475520.

The previous prime is 9997133. The next prime is 9997177. The reversal of 9997155 is 5517999.

It is an interprime number because it is at equal distance from previous prime (9997133) and next prime (9997177).

It is not a de Polignac number, because 9997155 - 25 = 9997123 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 9997155.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67021 + ... + 67169.

It is an arithmetic number, because the mean of its divisors is an integer number (324000).

Almost surely, 29997155 is an apocalyptic number.

9997155 is an abundant number, since it is smaller than the sum of its proper divisors (10738845).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9997155 is a wasteful number, since it uses less digits than its factorization.

9997155 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 235 counting only the distinct ones).

The product of its digits is 127575, while the sum is 45.

The square root of 9997155 is about 3161.8277941722. The cubic root of 9997155 is about 215.4230358430.

The spelling of 9997155 in words is "nine million, nine hundred ninety-seven thousand, one hundred fifty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 71 105 135 149 189 213 315 355 447 497 639 745 945 1043 1065 1341 1491 1917 2235 2485 3129 3195 4023 4473 5215 6705 7455 9387 9585 10579 13419 15645 20115 22365 28161 31737 46935 52895 67095 74053 95211 140805 158685 222159 285633 370265 476055 666477 1110795 1428165 1999431 3332385 9997155