33074001 has 27 divisors (see below), whose sum is σ = 50317033. Its totient is φ = 21738780.

The previous prime is 33073973. The next prime is 33074029. The reversal of 33074001 is 10047033.

The square root of 33074001 is 5751.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (33073973) and next prime (33074029).

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 33074001 - 2⁵ = 33073969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33074051) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 465796 + ... + 465866.

Almost surely, 2^33074001 is an apocalyptic number.

33074001 is the 5751-st square number.

33074001 is the 2876-th centered octagonal number.

It is an amenable number.

33074001 is a deficient number, since it is larger than the sum of its proper divisors (17243032).

33074001 is an frugal number, since it uses more digits than its factorization.

33074001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The cubic root of 33074001 is about 320.9930123381.

The spelling of 33074001 in words is "thirty-three million, seventy-four thousand, one".