46377 has 6 divisors (see below), whose sum is σ = 67002. Its totient is φ = 30912.

The previous prime is 46351. The next prime is 46381. The reversal of 46377 is 77364.

46377 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 41616 + 4761 = 204^2 + 69^2 .

It is not a de Polignac number, because 46377 - 2¹² = 42281 is a prime.

It is a super-2 number, since 2×46377² = 4301652258, which contains 22 as substring.

46377 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 46377.

It is not an unprimeable number, because it can be changed into a prime (46307) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2568 + ... + 2585.

It is an arithmetic number, because the mean of its divisors is an integer number (11167).

2⁴⁶³⁷⁷ is an apocalyptic number.

It is an amenable number.

46377 is a deficient number, since it is larger than the sum of its proper divisors (20625).

46377 is a wasteful number, since it uses less digits than its factorization.

46377 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5159 (or 5156 counting only the distinct ones).

The product of its digits is 3528, while the sum is 27.

The square root of 46377 is about 215.3531982581. The cubic root of 46377 is about 35.9280972250.

Subtracting from 46377 its product of digits (3528), we obtain a square (42849 = 207²).

The spelling of 46377 in words is "forty-six thousand, three hundred seventy-seven".