361376 has 24 divisors (see below), whose sum is σ = 743904. Its totient is φ = 172480.

The previous prime is 361373. The next prime is 361409. The reversal of 361376 is 673163.

It is a super-2 number, since 2×361376² = 261185226752, which contains 22 as substring.

It is a nialpdrome in base 13.

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 361376.

It is not an unprimeable number, because it can be changed into a prime (361373) 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 3 ways as a sum of consecutive naturals, for example, 491 + ... + 981.

It is an arithmetic number, because the mean of its divisors is an integer number (30996).

2³⁶¹³⁷⁶ is an apocalyptic number.

361376 is the 491-st pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371952).

361376 is an abundant number, since it is smaller than the sum of its proper divisors (382528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

361376 is a wasteful number, since it uses less digits than its factorization.

361376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 516 counting only the distinct ones).

The product of its digits is 2268, while the sum is 26.

The square root of 361376 is about 601.1455730520. The cubic root of 361376 is about 71.2283857697.

It can be divided in two parts, 361 and 376, that added together give a palindrome (737).

The spelling of 361376 in words is "three hundred sixty-one thousand, three hundred seventy-six".