377361 has 12 divisors (see below), whose sum is σ = 569088. Its totient is φ = 240504.

The previous prime is 377353. The next prime is 377369. The reversal of 377361 is 163773.

It is an interprime number because it is at equal distance from previous prime (377353) and next prime (377369).

It is not a de Polignac number, because 377361 - 2³ = 377353 is a prime.

It is a super-4 number, since 4×377361⁴ (a number of 23 digits) contains 4444 as substring.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 377361.

It is not an unprimeable number, because it can be changed into a prime (377369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 705 + ... + 1118.

It is an arithmetic number, because the mean of its divisors is an integer number (47424).

2³⁷⁷³⁶¹ is an apocalyptic number.

It is an amenable number.

377361 is a deficient number, since it is larger than the sum of its proper divisors (191727).

377361 is a wasteful number, since it uses less digits than its factorization.

377361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852 (or 1849 counting only the distinct ones).

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

The square root of 377361 is about 614.2971593618. The cubic root of 377361 is about 72.2635020642.

The spelling of 377361 in words is "three hundred seventy-seven thousand, three hundred sixty-one".