33382953 has 12 divisors (see below), whose sum is σ = 48376068. Its totient is φ = 22183200.

The previous prime is 33382949. The next prime is 33382961. The reversal of 33382953 is 35928333.

It can be written as a sum of positive squares in 2 ways, for example, as 12616704 + 20766249 = 3552^2 + 4557^2 .

It is not a de Polignac number, because 33382953 - 2² = 33382949 is a prime.

It is a super-2 number, since 2×33382953² = 2228843102000418, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33382903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2998 + ... + 8703.

It is an arithmetic number, because the mean of its divisors is an integer number (4031339).

Almost surely, 2^33382953 is an apocalyptic number.

It is an amenable number.

33382953 is a deficient number, since it is larger than the sum of its proper divisors (14993115).

33382953 is a wasteful number, since it uses less digits than its factorization.

33382953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12024 (or 12021 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 33382953 is about 5777.7982830833. The cubic root of 33382953 is about 321.9894065674.

The spelling of 33382953 in words is "thirty-three million, three hundred eighty-two thousand, nine hundred fifty-three".