96932970 has 128 divisors (see below), whose sum is σ = 274913280. Its totient is φ = 24261120.

The previous prime is 96932959. The next prime is 96932981. The reversal of 96932970 is 7923969.

It is an interprime number because it is at equal distance from previous prime (96932959) and next prime (96932981).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 309534 + ... + 309846.

It is an arithmetic number, because the mean of its divisors is an integer number (2147760).

Almost surely, 2^96932970 is an apocalyptic number.

96932970 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 96932970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137456640).

96932970 is an abundant number, since it is smaller than the sum of its proper divisors (177980310).

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

96932970 is a wasteful number, since it uses less digits than its factorization.

96932970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 96932970 is about 9845.4542810375. The cubic root of 96932970 is about 459.3642288187.

The spelling of 96932970 in words is "ninety-six million, nine hundred thirty-two thousand, nine hundred seventy".