32970966 has 64 divisors (see below), whose sum is σ = 80486400. Its totient is φ = 8794656.

The previous prime is 32970953. The next prime is 32970967. The reversal of 32970966 is 66907923.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32970967) 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, 62781 + ... + 63303.

It is an arithmetic number, because the mean of its divisors is an integer number (1257600).

Almost surely, 2^32970966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32970966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40243200).

32970966 is an abundant number, since it is smaller than the sum of its proper divisors (47515434).

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

32970966 is a wasteful number, since it uses less digits than its factorization.

32970966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633.

The product of its (nonzero) digits is 122472, while the sum is 42.

The square root of 32970966 is about 5742.0350051180. The cubic root of 32970966 is about 320.6593371644.

The spelling of 32970966 in words is "thirty-two million, nine hundred seventy thousand, nine hundred sixty-six".