31966002 has 40 divisors (see below), whose sum is σ = 73577196. Its totient is φ = 10365408.

The previous prime is 31965959. The next prime is 31966061. The reversal of 31966002 is 20066913.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 21986721 + 9979281 = 4689^2 + 3159^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3328 + ... + 8660.

Almost surely, 2^31966002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31966002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36788598).

31966002 is an abundant number, since it is smaller than the sum of its proper divisors (41611194).

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

31966002 is a wasteful number, since it uses less digits than its factorization.

31966002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5384 (or 5375 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 31966002 is about 5653.8484238614. The cubic root of 31966002 is about 317.3677362583.

The spelling of 31966002 in words is "thirty-one million, nine hundred sixty-six thousand, two".