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97902 = 2337237
BaseRepresentation
bin10111111001101110
311222022000
4113321232
511113102
62033130
7555300
oct277156
9158260
1097902
1167612
12487a6
133573c
1427970
151e01c
hex17e6e

97902 has 48 divisors (see below), whose sum is σ = 259920. Its totient is φ = 27216.

The previous prime is 97883. The next prime is 97919. The reversal of 97902 is 20979.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 7.

It is a congruent number.

It is an unprimeable number.

97902 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2628 + ... + 2664.

It is an arithmetic number, because the mean of its divisors is an integer number (5415).

297902 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97902, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129960).

97902 is an abundant number, since it is smaller than the sum of its proper divisors (162018).

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

97902 is a wasteful number, since it uses less digits than its factorization.

97902 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 97902 is about 312.8929529408. The cubic root of 97902 is about 46.0889896741.

It can be divided in two parts, 97 and 902, that added together give a palindrome (999).

The spelling of 97902 in words is "ninety-seven thousand, nine hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 27 37 42 49 54 63 74 98 111 126 147 189 222 259 294 333 378 441 518 666 777 882 999 1323 1554 1813 1998 2331 2646 3626 4662 5439 6993 10878 13986 16317 32634 48951 97902