3007693 has 12 divisors (see below), whose sum is σ = 3348660. Its totient is φ = 2701296.

The previous prime is 3007661. The next prime is 3007709. The reversal of 3007693 is 3967003.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 751689 + 2256004 = 867^2 + 1502^2 .

It is not a de Polignac number, because 3007693 - 2⁵ = 3007661 is a prime.

It is a Duffinian number.

3007693 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3007603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81271 + ... + 81307.

It is an arithmetic number, because the mean of its divisors is an integer number (279055).

Almost surely, 2^3007693 is an apocalyptic number.

It is an amenable number.

3007693 is a deficient number, since it is larger than the sum of its proper divisors (340967).

3007693 is an frugal number, since it uses more digits than its factorization.

3007693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 28.

The square root of 3007693 is about 1734.2701634982. The cubic root of 3007693 is about 144.3481320916.

The spelling of 3007693 in words is "three million, seven thousand, six hundred ninety-three".