97137432 has 96 divisors (see below), whose sum is σ = 308848800. Its totient is φ = 26998272.

The previous prime is 97137431. The next prime is 97137433. The reversal of 97137432 is 23473179.

97137432 is a `hidden beast` number, since 97 + 137 + 432 = 666.

It is an interprime number because it is at equal distance from previous prime (97137431) and next prime (97137433).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97137431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16044 + ... + 21252.

It is an arithmetic number, because the mean of its divisors is an integer number (3217175).

Almost surely, 2^97137432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97137432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154424400).

97137432 is an abundant number, since it is smaller than the sum of its proper divisors (211711368).

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

97137432 is a wasteful number, since it uses less digits than its factorization.

97137432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5265 (or 5258 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 97137432 is about 9855.8323849384. The cubic root of 97137432 is about 459.6869830163.

The spelling of 97137432 in words is "ninety-seven million, one hundred thirty-seven thousand, four hundred thirty-two".