45959 has 2 divisors, whose sum is σ = 45960. Its totient is φ = 45958.

The previous prime is 45953. The next prime is 45971. The reversal of 45959 is 95954.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 45959 - 2⁴ = 45943 is a prime.

It is a super-2 number, since 2×45959² = 4224459362, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (45953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22979 + 22980.

It is an arithmetic number, because the mean of its divisors is an integer number (22980).

2⁴⁵⁹⁵⁹ is an apocalyptic number.

45959 is a deficient number, since it is larger than the sum of its proper divisors (1).

45959 is an equidigital number, since it uses as much as digits as its factorization.

45959 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8100, while the sum is 32.

The square root of 45959 is about 214.3805028448. The cubic root of 45959 is about 35.8198302587.

The spelling of 45959 in words is "forty-five thousand, nine hundred fifty-nine".