46953 has 16 divisors (see below), whose sum is σ = 72960. Its totient is φ = 29808.

The previous prime is 46933. The next prime is 46957. The reversal of 46953 is 35964.

It is a happy number.

It is not a de Polignac number, because 46953 - 2⁶ = 46889 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 4⁴ + 6⁶ + 9 + 5 + 3³ .

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (46957) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 976 + ... + 1022.

It is an arithmetic number, because the mean of its divisors is an integer number (4560).

2⁴⁶⁹⁵³ is an apocalyptic number.

It is an amenable number.

46953 is a deficient number, since it is larger than the sum of its proper divisors (26007).

46953 is a wasteful number, since it uses less digits than its factorization.

46953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 87 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 46953 is about 216.6864093569. The cubic root of 46953 is about 36.0762273691.

It can be divided in two parts, 46 and 953, that added together give a palindrome (999).

The spelling of 46953 in words is "forty-six thousand, nine hundred fifty-three".