33400993 has 8 divisors (see below), whose sum is σ = 35212320. Its totient is φ = 31595040.

The previous prime is 33400957. The next prime is 33400999. The reversal of 33400993 is 39900433.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 33400993 - 2⁹ = 33400481 is a prime.

It is a super-2 number, since 2×33400993² = 2231252666772098, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33400999) 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, 21813 + ... + 23293.

It is an arithmetic number, because the mean of its divisors is an integer number (4401540).

Almost surely, 2^33400993 is an apocalyptic number.

It is an amenable number.

33400993 is a deficient number, since it is larger than the sum of its proper divisors (1811327).

33400993 is a wasteful number, since it uses less digits than its factorization.

33400993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2687.

The product of its (nonzero) digits is 8748, while the sum is 31.

The square root of 33400993 is about 5779.3592205365. The cubic root of 33400993 is about 322.0473966727.

The spelling of 33400993 in words is "thirty-three million, four hundred thousand, nine hundred ninety-three".