32973696 has 256 divisors, whose sum is σ = 117504000. Its totient is φ = 8902656.

The previous prime is 32973691. The next prime is 32973701. The reversal of 32973696 is 69637923.

32973696 = 138² + 139² + ... + 466².

It is an interprime number because it is at equal distance from previous prime (32973691) and next prime (32973701).

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 (32973691) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 701545 + ... + 701591.

It is an arithmetic number, because the mean of its divisors is an integer number (459000).

Almost surely, 2^32973696 is an apocalyptic number.

32973696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32973696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58752000).

32973696 is an abundant number, since it is smaller than the sum of its proper divisors (84530304).

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

32973696 is a wasteful number, since it uses less digits than its factorization.

32973696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 88 counting only the distinct ones).

The product of its digits is 367416, while the sum is 45.

The square root of 32973696 is about 5742.2727207962. The cubic root of 32973696 is about 320.6681871308.

The spelling of 32973696 in words is "thirty-two million, nine hundred seventy-three thousand, six hundred ninety-six".