361557 has 16 divisors (see below), whose sum is σ = 612480. Its totient is φ = 206496.

The previous prime is 361549. The next prime is 361561. The reversal of 361557 is 755163.

It is not a de Polignac number, because 361557 - 2³ = 361549 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 3³ + 6⁷ + 5⁵ + 1 + 5⁷ + 7³ .

361557 is a lucky number.

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 361557.

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 361557.

It is not an unprimeable number, because it can be changed into a prime (361507) 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, 768 + ... + 1145.

It is an arithmetic number, because the mean of its divisors is an integer number (38280).

2³⁶¹⁵⁵⁷ is an apocalyptic number.

It is an amenable number.

361557 is a deficient number, since it is larger than the sum of its proper divisors (250923).

361557 is a wasteful number, since it uses less digits than its factorization.

361557 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1929 (or 1923 counting only the distinct ones).

The product of its digits is 3150, while the sum is 27.

The square root of 361557 is about 601.2961001038. The cubic root of 361557 is about 71.2402756812.

The spelling of 361557 in words is "three hundred sixty-one thousand, five hundred fifty-seven".