45965 has 8 divisors (see below), whose sum is σ = 57240. Its totient is φ = 35392.

The previous prime is 45959. The next prime is 45971. The reversal of 45965 is 56954.

It is an interprime number because it is at equal distance from previous prime (45959) and next prime (45971).

It can be written as a sum of positive squares in 4 ways, for example, as 169 + 45796 = 13^2 + 214^2 .

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 45965 - 2⁴ = 45949 is a prime.

It is a super-2 number, since 2×45965² = 4225562450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 45965.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14 + ... + 303.

It is an arithmetic number, because the mean of its divisors is an integer number (7155).

2⁴⁵⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

45965 is a deficient number, since it is larger than the sum of its proper divisors (11275).

45965 is a wasteful number, since it uses less digits than its factorization.

45965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351.

The product of its digits is 5400, while the sum is 29.

The square root of 45965 is about 214.3944961980. The cubic root of 45965 is about 35.8213889641.

The spelling of 45965 in words is "forty-five thousand, nine hundred sixty-five".