10355961 has 32 divisors (see below), whose sum is σ = 17399808. Its totient is φ = 5322240.

The previous prime is 10355959. The next prime is 10355971. The reversal of 10355961 is 16955301.

10355961 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10355961 - 2¹ = 10355959 is a prime.

It is a super-3 number, since 3×10355961³ (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10355971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29161 + ... + 29513.

It is an arithmetic number, because the mean of its divisors is an integer number (543744).

Almost surely, 2^10355961 is an apocalyptic number.

10355961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10355961 is a deficient number, since it is larger than the sum of its proper divisors (7043847).

10355961 is a wasteful number, since it uses less digits than its factorization.

10355961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501.

The product of its (nonzero) digits is 4050, while the sum is 30.

The square root of 10355961 is about 3218.0678986000. The cubic root of 10355961 is about 217.9700390887.

It can be divided in two parts, 1035 and 5961, that added together give a palindrome (6996).

The spelling of 10355961 in words is "ten million, three hundred fifty-five thousand, nine hundred sixty-one".