361137 has 16 divisors (see below), whose sum is σ = 570240. Its totient is φ = 198912.

The previous prime is 361111. The next prime is 361159. The reversal of 361137 is 731163.

It is not a de Polignac number, because 361137 - 2¹⁴ = 344753 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a d-powerful number, because it can be written as 3⁹ + 6⁶ + 1 + 1 + 3¹¹ + 7⁶ .

361137 is a lucky number.

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 361137.

It is not an unprimeable number, because it can be changed into a prime (361237) 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, 313 + ... + 905.

It is an arithmetic number, because the mean of its divisors is an integer number (35640).

2³⁶¹¹³⁷ is an apocalyptic number.

It is an amenable number.

361137 is a deficient number, since it is larger than the sum of its proper divisors (209103).

361137 is a wasteful number, since it uses less digits than its factorization.

361137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632.

The product of its digits is 378, while the sum is 21.

The square root of 361137 is about 600.9467530489. The cubic root of 361137 is about 71.2126797474.

The spelling of 361137 in words is "three hundred sixty-one thousand, one hundred thirty-seven".