165347406 has 112 divisors (see below), whose sum is σ = 450455904. Its totient is φ = 44416512.

The previous prime is 165347401. The next prime is 165347471. The reversal of 165347406 is 604743561.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165347401) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 173026 + ... + 173978.

Almost surely, 2^165347406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165347406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225227952).

165347406 is an abundant number, since it is smaller than the sum of its proper divisors (285108498).

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

165347406 is an equidigital number, since it uses as much as digits as its factorization.

165347406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 165347406 is about 12858.7482283463. The cubic root of 165347406 is about 548.8653257405.

The spelling of 165347406 in words is "one hundred sixty-five million, three hundred forty-seven thousand, four hundred six".