10212965 has 16 divisors (see below), whose sum is σ = 14147328. Its totient is φ = 6932736.

The previous prime is 10212953. The next prime is 10212967. The reversal of 10212965 is 56921201.

It is a cyclic number.

It is not a de Polignac number, because 10212965 - 2¹⁴ = 10196581 is a prime.

It is a super-5 number, since 5×10212965⁵ (a number of 36 digits) contains 55555 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2189 + ... + 5021.

It is an arithmetic number, because the mean of its divisors is an integer number (884208).

Almost surely, 2^10212965 is an apocalyptic number.

It is an amenable number.

10212965 is a deficient number, since it is larger than the sum of its proper divisors (3934363).

10212965 is a wasteful number, since it uses less digits than its factorization.

10212965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2948.

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 10212965 is about 3195.7729894346. The cubic root of 10212965 is about 216.9621360029.

It can be divided in two parts, 10212 and 965, that multiplied together give a triangular number (9854580 = T₄₄₃₉).

The spelling of 10212965 in words is "ten million, two hundred twelve thousand, nine hundred sixty-five".