361413 has 12 divisors (see below), whose sum is σ = 562380. Its totient is φ = 222336.

The previous prime is 361411. The next prime is 361421. The reversal of 361413 is 314163.

It can be written as a sum of positive squares in 2 ways, for example, as 199809 + 161604 = 447^2 + 402^2 .

It is not a de Polignac number, because 361413 - 2¹ = 361411 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 361413.

It is not an unprimeable number, because it can be changed into a prime (361411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1428 + ... + 1661.

It is an arithmetic number, because the mean of its divisors is an integer number (46865).

2³⁶¹⁴¹³ is an apocalyptic number.

It is an amenable number.

361413 is a deficient number, since it is larger than the sum of its proper divisors (200967).

361413 is a wasteful number, since it uses less digits than its factorization.

361413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3108 (or 3105 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 361413 is about 601.1763468401. The cubic root of 361413 is about 71.2308166268.

Adding to 361413 its reverse (314163), we get a palindrome (675576).

It can be divided in two parts, 3 and 61413, that added together give a palindrome (61416).

The spelling of 361413 in words is "three hundred sixty-one thousand, four hundred thirteen".