45967 has 4 divisors (see below), whose sum is σ = 47080. Its totient is φ = 44856.

The previous prime is 45959. The next prime is 45971. The reversal of 45967 is 76954.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 45967 - 2³ = 45959 is a prime.

It is a super-2 number, since 2×45967² = 4225930178, which contains 22 as substring.

It is a Duffinian number.

It is a plaindrome in base 13.

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 45967.

It is not an unprimeable number, because it can be changed into a prime (45667) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 492 + ... + 577.

It is an arithmetic number, because the mean of its divisors is an integer number (11770).

2⁴⁵⁹⁶⁷ is an apocalyptic number.

45967 is a deficient number, since it is larger than the sum of its proper divisors (1113).

45967 is a wasteful number, since it uses less digits than its factorization.

45967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112.

The product of its digits is 7560, while the sum is 31.

The square root of 45967 is about 214.3991604461. The cubic root of 45967 is about 35.8219085025.

The spelling of 45967 in words is "forty-five thousand, nine hundred sixty-seven".