381611257 has 16 divisors (see below), whose sum is σ = 426781440. Its totient is φ = 339095808.

The previous prime is 381611227. The next prime is 381611267. The reversal of 381611257 is 752116183.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 381611257 - 2¹⁵ = 381578489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (381611227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100528 + ... + 104254.

It is an arithmetic number, because the mean of its divisors is an integer number (26673840).

Almost surely, 2^381611257 is an apocalyptic number.

It is an amenable number.

381611257 is a deficient number, since it is larger than the sum of its proper divisors (45170183).

381611257 is a wasteful number, since it uses less digits than its factorization.

381611257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4080.

The product of its digits is 10080, while the sum is 34.

The square root of 381611257 is about 19534.8728432002. The cubic root of 381611257 is about 725.3379364719.

The spelling of 381611257 in words is "three hundred eighty-one million, six hundred eleven thousand, two hundred fifty-seven".