3006465 has 64 divisors (see below), whose sum is σ = 6359040. Its totient is φ = 1175040.

The previous prime is 3006461. The next prime is 3006469. The reversal of 3006465 is 5646003.

It is an interprime number because it is at equal distance from previous prime (3006461) and next prime (3006469).

It is not a de Polignac number, because 3006465 - 2² = 3006461 is a prime.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3006461) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21877 + ... + 22013.

It is an arithmetic number, because the mean of its divisors is an integer number (99360).

It is a Proth number, since it is equal to 367 ⋅ 2¹³ + 1 and 367 < 2¹³.

Almost surely, 2^3006465 is an apocalyptic number.

3006465 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3006465 is an abundant number, since it is smaller than the sum of its proper divisors (3352575).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3006465 is a wasteful number, since it uses less digits than its factorization.

3006465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182.

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 3006465 is about 1733.9160879351. The cubic root of 3006465 is about 144.3284842934.

The spelling of 3006465 in words is "three million, six thousand, four hundred sixty-five".