337561 has 9 divisors (see below), whose sum is σ = 397461. Its totient is φ = 285852.

The previous prime is 337543. The next prime is 337583. The reversal of 337561 is 165733.

It is a happy number.

The square root of 337561 is 581.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 337561 - 2⁵ = 337529 is a prime.

It is a super-2 number, since 2×337561² = 227894857442, which contains 22 as substring.

It is a Duffinian number.

Its product of digits (1890) is a multiple of the sum of its prime divisors (90).

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (337511) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4026 + ... + 4108.

2³³⁷⁵⁶¹ is an apocalyptic number.

337561 is the 581-st square number.

337561 is the 291-st centered octagonal number.

It is an amenable number.

337561 is a deficient number, since it is larger than the sum of its proper divisors (59900).

337561 is an frugal number, since it uses more digits than its factorization.

337561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 90 counting only the distinct ones).

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

The cubic root of 337561 is about 69.6280268725.

Multiplying 337561 by its sum of digits (25), we get a square (8439025 = 2905²).

It can be divided in two parts, 337 and 561, that added together give a palindrome (898).

The spelling of 337561 in words is "three hundred thirty-seven thousand, five hundred sixty-one".