377613 has 6 divisors (see below), whose sum is σ = 545454. Its totient is φ = 251736.

The previous prime is 377599. The next prime is 377617. The reversal of 377613 is 316773.

It can be written as a sum of positive squares in only one way, i.e., 328329 + 49284 = 573^2 + 222^2 .

It is not a de Polignac number, because 377613 - 2⁵ = 377581 is a prime.

It is a super-3 number, since 3×377613³ = 161533300368256191, which contains 333 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (377617) 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, 20970 + ... + 20987.

It is an arithmetic number, because the mean of its divisors is an integer number (90909).

2³⁷⁷⁶¹³ is an apocalyptic number.

It is an amenable number.

377613 is a deficient number, since it is larger than the sum of its proper divisors (167841).

377613 is a wasteful number, since it uses less digits than its factorization.

377613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41963 (or 41960 counting only the distinct ones).

The product of its digits is 2646, while the sum is 27.

The square root of 377613 is about 614.5022375875. The cubic root of 377613 is about 72.2795842335.

It can be divided in two parts, 377 and 613, that added together give a triangular number (990 = T₄₄).

The spelling of 377613 in words is "three hundred seventy-seven thousand, six hundred thirteen".