33970132 has 36 divisors (see below), whose sum is σ = 69521760. Its totient is φ = 14481264.

The previous prime is 33970117. The next prime is 33970147. The reversal of 33970132 is 23107933.

It is an interprime number because it is at equal distance from previous prime (33970117) and next prime (33970147).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 33970132.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51219 + ... + 51877.

It is an arithmetic number, because the mean of its divisors is an integer number (1931160).

Almost surely, 2^33970132 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 33970132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34760880).

33970132 is an abundant number, since it is smaller than the sum of its proper divisors (35551628).

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

33970132 is a wasteful number, since it uses less digits than its factorization.

33970132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 28.

The square root of 33970132 is about 5828.3901722517. The cubic root of 33970132 is about 323.8662888798.

The spelling of 33970132 in words is "thirty-three million, nine hundred seventy thousand, one hundred thirty-two".