33897620 has 48 divisors (see below), whose sum is σ = 73050768. Its totient is φ = 13209600.

The previous prime is 33897613. The next prime is 33897629. The reversal of 33897620 is 2679833.

It can be written as a sum of positive squares in 8 ways, for example, as 6061444 + 27836176 = 2462^2 + 5276^2 .

It is a super-2 number, since 2×33897620² = 2298097283328800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33897629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195854 + ... + 196026.

It is an arithmetic number, because the mean of its divisors is an integer number (1521891).

Almost surely, 2^33897620 is an apocalyptic number.

It is an amenable number.

33897620 is an abundant number, since it is smaller than the sum of its proper divisors (39153148).

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

33897620 is a wasteful number, since it uses less digits than its factorization.

33897620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 33897620 is about 5822.1662635140. The cubic root of 33897620 is about 323.6356851068.

The spelling of 33897620 in words is "thirty-three million, eight hundred ninety-seven thousand, six hundred twenty".