361815 has 8 divisors (see below), whose sum is σ = 578928. Its totient is φ = 192960.

The previous prime is 361807. The next prime is 361843. The reversal of 361815 is 518163.

361815 = 267² + 268² + ... + 271².

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 361815 - 2³ = 361807 is a prime.

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 361815.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12046 + ... + 12075.

It is an arithmetic number, because the mean of its divisors is an integer number (72366).

2³⁶¹⁸¹⁵ is an apocalyptic number.

361815 is a deficient number, since it is larger than the sum of its proper divisors (217113).

361815 is a wasteful number, since it uses less digits than its factorization.

361815 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24129.

The product of its digits is 720, while the sum is 24.

The square root of 361815 is about 601.5105984104. The cubic root of 361815 is about 71.2572168744.

Adding to 361815 its reverse (518163), we get a palindrome (879978).

It can be divided in two parts, 361 and 815, that added together give a triangular number (1176 = T₄₈).

The spelling of 361815 in words is "three hundred sixty-one thousand, eight hundred fifteen".