402053 has 2 divisors, whose sum is σ = 402054. Its totient is φ = 402052.

The previous prime is 402049. The next prime is 402071. The reversal of 402053 is 350204.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 388129 + 13924 = 623^2 + 118^2 .

It is a cyclic number.

It is not a de Polignac number, because 402053 - 2² = 402049 is a prime.

It is a super-2 number, since 2×402053² = 323293229618, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is equal to p₃₄₀₀₇ and since 402053 and 34007 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (402023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 201026 + 201027.

It is an arithmetic number, because the mean of its divisors is an integer number (201027).

2⁴⁰²⁰⁵³ is an apocalyptic number.

It is an amenable number.

402053 is a deficient number, since it is larger than the sum of its proper divisors (1).

402053 is an equidigital number, since it uses as much as digits as its factorization.

402053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 402053 is about 634.0764938081. The cubic root of 402053 is about 73.8064702038.

Adding to 402053 its reverse (350204), we get a palindrome (752257).

The spelling of 402053 in words is "four hundred two thousand, fifty-three".