2967625 has 8 divisors (see below), whose sum is σ = 3703752. Its totient is φ = 2374000.

The previous prime is 2967607. The next prime is 2967637. The reversal of 2967625 is 5267692.

It can be written as a sum of positive squares in 4 ways, for example, as 64009 + 2903616 = 253^2 + 1704^2 .

It is not a de Polignac number, because 2967625 - 2¹⁷ = 2836553 is a prime.

It is a d-powerful number, because it can be written as 2⁵ + 9² + 6² + 7⁷ + 6⁶ + 2²¹ + 5³ .

It is a Duffinian number.

2967625 is a lucky number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11746 + ... + 11995.

It is an arithmetic number, because the mean of its divisors is an integer number (462969).

2^2967625 is an apocalyptic number.

2967625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2967625 is a deficient number, since it is larger than the sum of its proper divisors (736127).

2967625 is an equidigital number, since it uses as much as digits as its factorization.

2967625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23756 (or 23746 counting only the distinct ones).

The product of its digits is 45360, while the sum is 37.

The square root of 2967625 is about 1722.6795987647. The cubic root of 2967625 is about 143.7042702681.

It can be divided in two parts, 296 and 7625, that added together give a square (7921 = 89²).

The spelling of 2967625 in words is "two million, nine hundred sixty-seven thousand, six hundred twenty-five".