10361961 has 27 divisors (see below), whose sum is σ = 15931461. Its totient is φ = 6489504.

The previous prime is 10361933. The next prime is 10362007. The reversal of 10361961 is 16916301.

The square root of 10361961 is 3219.

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

10361961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2205225 + 8156736 = 1485^2 + 2856^2 .

It is not a de Polignac number, because 10361961 - 2⁵ = 10361929 is a prime.

It is a super-3 number, since 3×10361961³ (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10368961) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 280035 + ... + 280071.

Almost surely, 2^10361961 is an apocalyptic number.

10361961 is the 3219-th square number.

10361961 is the 1610-th centered octagonal number.

It is an amenable number.

10361961 is a deficient number, since it is larger than the sum of its proper divisors (5569500).

10361961 is an equidigital number, since it uses as much as digits as its factorization.

10361961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The cubic root of 10361961 is about 218.0121265313.

The spelling of 10361961 in words is "ten million, three hundred sixty-one thousand, nine hundred sixty-one".