335961 has 16 divisors (see below), whose sum is σ = 520320. Its totient is φ = 213840.

The previous prime is 335957. The next prime is 335999. The reversal of 335961 is 169533.

It is not a de Polignac number, because 335961 - 2² = 335957 is a prime.

It is a super-2 number, since 2×335961² = 225739587042, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

335961 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (335941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 351 + ... + 891.

It is an arithmetic number, because the mean of its divisors is an integer number (32520).

2³³⁵⁹⁶¹ is an apocalyptic number.

It is an amenable number.

335961 is a deficient number, since it is larger than the sum of its proper divisors (184359).

335961 is a wasteful number, since it uses less digits than its factorization.

335961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 567 counting only the distinct ones).

The product of its digits is 2430, while the sum is 27.

The square root of 335961 is about 579.6214281753. The cubic root of 335961 is about 69.5178430111.

It can be divided in two parts, 335 and 961, that added together give a 4-th power (1296 = 6⁴).

The spelling of 335961 in words is "three hundred thirty-five thousand, nine hundred sixty-one".