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97368 = 2334057
BaseRepresentation
bin10111110001011000
311221120020
4113301120
511103433
62030440
7553605
oct276130
9157506
1097368
1167177
1248420
133541b
14276ac
151dcb3
hex17c58

97368 has 16 divisors (see below), whose sum is σ = 243480. Its totient is φ = 32448.

The previous prime is 97367. The next prime is 97369. The reversal of 97368 is 86379.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (97367) and next prime (97369).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 97368.

It is not an unprimeable number, because it can be changed into a prime (97367) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2005 + ... + 2052.

297368 is an apocalyptic number.

It is an amenable number.

97368 is an abundant number, since it is smaller than the sum of its proper divisors (146112).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121740).

97368 is a wasteful number, since it uses less digits than its factorization.

97368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4066 (or 4062 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 97368 is about 312.0384591681. The cubic root of 97368 is about 46.0050404055.

It can be divided in two parts, 97 and 368, that added together give a triangular number (465 = T30).

The spelling of 97368 in words is "ninety-seven thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 4057 8114 12171 16228 24342 32456 48684 97368