9964629 has 12 divisors (see below), whose sum is σ = 14432236. Its totient is φ = 6625152.

The previous prime is 9964613. The next prime is 9964631. The reversal of 9964629 is 9264699.

It can be written as a sum of positive squares in 2 ways, for example, as 2528100 + 7436529 = 1590^2 + 2727^2 .

It is not a de Polignac number, because 9964629 - 2⁴ = 9964613 is a prime.

It is a super-2 number, since 2×9964629² = 198587662215282, which contains 22 as substring.

It is a d-powerful number, because it can be written as 9⁴ + 9⁷ + 6⁶ + 4⁸ + 6⁷ + 2 + 9⁷ .

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9964639) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2619 + ... + 5175.

Almost surely, 2^9964629 is an apocalyptic number.

It is an amenable number.

9964629 is a deficient number, since it is larger than the sum of its proper divisors (4467607).

9964629 is a wasteful number, since it uses less digits than its factorization.

9964629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2996 (or 2993 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 9964629 is about 3156.6800598097. The cubic root of 9964629 is about 215.1891538897.

It can be divided in two parts, 996 and 4629, that added together give a square (5625 = 75²).

The spelling of 9964629 in words is "nine million, nine hundred sixty-four thousand, six hundred twenty-nine".