306961 has 4 divisors (see below), whose sum is σ = 310500. Its totient is φ = 303424.

The previous prime is 306953. The next prime is 306991. The reversal of 306961 is 169603.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 169603 = 7 ⋅24229.

It can be written as a sum of positive squares in 2 ways, for example, as 20736 + 286225 = 144^2 + 535^2 .

It is a cyclic number.

It is not a de Polignac number, because 306961 - 2³ = 306953 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (306941) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1636 + ... + 1813.

It is an arithmetic number, because the mean of its divisors is an integer number (77625).

2³⁰⁶⁹⁶¹ is an apocalyptic number.

It is an amenable number.

306961 is a deficient number, since it is larger than the sum of its proper divisors (3539).

306961 is an equidigital number, since it uses as much as digits as its factorization.

306961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3538.

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 306961 is about 554.0406122298. The cubic root of 306961 is about 67.4571103851.

Subtracting from 306961 its sum of digits (25), we obtain a triangular number (306936 = T₇₈₃).

The spelling of 306961 in words is "three hundred six thousand, nine hundred sixty-one".