46965 has 16 divisors (see below), whose sum is σ = 78336. Its totient is φ = 24000.

The previous prime is 46957. The next prime is 46993. The reversal of 46965 is 56964.

It is not a de Polignac number, because 46965 - 2³ = 46957 is a prime.

It is a super-2 number, since 2×46965² = 4411422450, which contains 22 as substring.

46965 is a lucky number.

It is a nialpdrome in base 15 and base 16.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 415 + ... + 515.

It is an arithmetic number, because the mean of its divisors is an integer number (4896).

2⁴⁶⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

46965 is a deficient number, since it is larger than the sum of its proper divisors (31371).

46965 is a wasteful number, since it uses less digits than its factorization.

46965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140.

The product of its digits is 6480, while the sum is 30.

The square root of 46965 is about 216.7140973726. The cubic root of 46965 is about 36.0793004979.

Subtracting 46965 from its reverse (56964), we obtain a palindrome (9999).

The spelling of 46965 in words is "forty-six thousand, nine hundred sixty-five".