361375 has 24 divisors (see below), whose sum is σ = 533520. Its totient is φ = 243600.

The previous prime is 361373. The next prime is 361409. The reversal of 361375 is 573163.

It is a happy number.

It is not a de Polignac number, because 361375 - 2¹ = 361373 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a nialpdrome in base 13.

It is a congruent number.

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6096 + ... + 6154.

It is an arithmetic number, because the mean of its divisors is an integer number (22230).

2³⁶¹³⁷⁵ is an apocalyptic number.

361375 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

361375 is a deficient number, since it is larger than the sum of its proper divisors (172145).

361375 is an equidigital number, since it uses as much as digits as its factorization.

361375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 71 counting only the distinct ones).

The product of its digits is 1890, while the sum is 25.

The square root of 361375 is about 601.1447413061. The cubic root of 361375 is about 71.2283200685.

The spelling of 361375 in words is "three hundred sixty-one thousand, three hundred seventy-five".