33457 has 2 divisors, whose sum is σ = 33458. Its totient is φ = 33456.

The previous prime is 33427. The next prime is 33461. The reversal of 33457 is 75433.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26896 + 6561 = 164^2 + 81^2 .

It is a cyclic number.

It is not a de Polignac number, because 33457 - 2⁷ = 33329 is a prime.

It is a super-2 number, since 2×33457² = 2238741698, which contains 22 as substring.

It is a plaindrome in base 10.

It is not a weakly prime, because it can be changed into another prime (33427) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16728 + 16729.

It is an arithmetic number, because the mean of its divisors is an integer number (16729).

2³³⁴⁵⁷ is an apocalyptic number.

It is an amenable number.

33457 is a deficient number, since it is larger than the sum of its proper divisors (1).

33457 is an equidigital number, since it uses as much as digits as its factorization.

33457 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1260, while the sum is 22.

The square root of 33457 is about 182.9125474100. The cubic root of 33457 is about 32.2227299872. Note that the first 3 decimals are identical.

The spelling of 33457 in words is "thirty-three thousand, four hundred fifty-seven".