33400057 has 2 divisors, whose sum is σ = 33400058. Its totient is φ = 33400056.

The previous prime is 33400039. The next prime is 33400063. The reversal of 33400057 is 75000433.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26409321 + 6990736 = 5139^2 + 2644^2 .

It is a cyclic number.

It is not a de Polignac number, because 33400057 - 2¹¹ = 33398009 is a prime.

It is a super-2 number, since 2×33400057² = 2231127615206498, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33400027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16700028 + 16700029.

It is an arithmetic number, because the mean of its divisors is an integer number (16700029).

Almost surely, 2^33400057 is an apocalyptic number.

It is an amenable number.

33400057 is a deficient number, since it is larger than the sum of its proper divisors (1).

33400057 is an equidigital number, since it uses as much as digits as its factorization.

33400057 is an odious number, because the sum of its binary digits is odd.

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

The square root of 33400057 is about 5779.2782421337. The cubic root of 33400057 is about 322.0443883871.

The spelling of 33400057 in words is "thirty-three million, four hundred thousand, fifty-seven".