33972690 has 16 divisors (see below), whose sum is σ = 81534528. Its totient is φ = 9059376.

The previous prime is 33972689. The next prime is 33972691. The reversal of 33972690 is 9627933.

It is an interprime number because it is at equal distance from previous prime (33972689) and next prime (33972691).

It is a super-2 number, since 2×33972690² = 2308287331672200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33972691) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 566182 + ... + 566241.

It is an arithmetic number, because the mean of its divisors is an integer number (5095908).

Almost surely, 2^33972690 is an apocalyptic number.

33972690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

33972690 is an abundant number, since it is smaller than the sum of its proper divisors (47561838).

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

33972690 is a wasteful number, since it uses less digits than its factorization.

33972690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132433.

The product of its (nonzero) digits is 61236, while the sum is 39.

The square root of 33972690 is about 5828.6096112195. The cubic root of 33972690 is about 323.8744178755.

The spelling of 33972690 in words is "thirty-three million, nine hundred seventy-two thousand, six hundred ninety".