361713 has 16 divisors (see below), whose sum is σ = 536256. Its totient is φ = 215040.

The previous prime is 361687. The next prime is 361723. The reversal of 361713 is 317163.

It is not a de Polignac number, because 361713 - 2⁶ = 361649 is a prime.

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 361713.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 361713.

It is not an unprimeable number, because it can be changed into a prime (361723) 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, 3145 + ... + 3257.

It is an arithmetic number, because the mean of its divisors is an integer number (33516).

2³⁶¹⁷¹³ is an apocalyptic number.

361713 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

361713 is a deficient number, since it is larger than the sum of its proper divisors (174543).

361713 is a wasteful number, since it uses less digits than its factorization.

361713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224.

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

The square root of 361713 is about 601.4258058980. The cubic root of 361713 is about 71.2505201563.

Adding to 361713 its reverse (317163), we get a palindrome (678876).

It can be divided in two parts, 3 and 61713, that added together give a palindrome (61716).

The spelling of 361713 in words is "three hundred sixty-one thousand, seven hundred thirteen".