46761 has 16 divisors (see below), whose sum is σ = 73920. Its totient is φ = 25920.

The previous prime is 46757. The next prime is 46769. The reversal of 46761 is 16764.

It is not a de Polignac number, because 46761 - 2² = 46757 is a prime.

It is a super-2 number, since 2×46761² = 4373182242, which contains 22 as substring.

It is a Curzon number.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (46769) 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, 375 + ... + 483.

It is an arithmetic number, because the mean of its divisors is an integer number (4620).

2⁴⁶⁷⁶¹ is an apocalyptic number.

It is an amenable number.

46761 is a deficient number, since it is larger than the sum of its proper divisors (27159).

46761 is a wasteful number, since it uses less digits than its factorization.

46761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136.

The product of its digits is 1008, while the sum is 24.

The square root of 46761 is about 216.2429189592. The cubic root of 46761 is about 36.0269859389.

Subtracting from 46761 its product of digits (1008), we obtain a triangular number (45753 = T₃₀₂).

It can be divided in two parts, 467 and 61, that added together give a triangular number (528 = T₃₂).

The spelling of 46761 in words is "forty-six thousand, seven hundred sixty-one".