381577 has 12 divisors (see below), whose sum is σ = 463296. Its totient is φ = 307800.

The previous prime is 381569. The next prime is 381607. The reversal of 381577 is 775183.

It is not a de Polignac number, because 381577 - 2³ = 381569 is a prime.

Its product of digits (5880) is a multiple of the sum of its prime factors (196).

381577 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381527) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2452 + ... + 2602.

It is an arithmetic number, because the mean of its divisors is an integer number (38608).

2³⁸¹⁵⁷⁷ is an apocalyptic number.

It is an amenable number.

381577 is a deficient number, since it is larger than the sum of its proper divisors (81719).

381577 is a wasteful number, since it uses less digits than its factorization.

381577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 177 counting only the distinct ones).

The product of its digits is 5880, while the sum is 31.

The square root of 381577 is about 617.7191918663. The cubic root of 381577 is about 72.5316231447.

The spelling of 381577 in words is "three hundred eighty-one thousand, five hundred seventy-seven".