377967 has 12 divisors (see below), whose sum is σ = 533400. Its totient is φ = 238032.

The previous prime is 377963. The next prime is 377981. The reversal of 377967 is 769773.

It is not a de Polignac number, because 377967 - 2² = 377963 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

377967 is a lucky number.

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 377967.

It is not an unprimeable number, because it can be changed into a prime (377963) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 909 + ... + 1257.

It is an arithmetic number, because the mean of its divisors is an integer number (44450).

2³⁷⁷⁹⁶⁷ is an apocalyptic number.

377967 is a deficient number, since it is larger than the sum of its proper divisors (155433).

377967 is a wasteful number, since it uses less digits than its factorization.

377967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 371 counting only the distinct ones).

The product of its digits is 55566, while the sum is 39.

The square root of 377967 is about 614.7902081198. The cubic root of 377967 is about 72.3021637716.

The spelling of 377967 in words is "three hundred seventy-seven thousand, nine hundred sixty-seven".