5346792 has 96 divisors (see below), whose sum is σ = 16267680. Its totient is φ = 1572480.

The previous prime is 5346791. The next prime is 5346793. The reversal of 5346792 is 2976435.

It is an interprime number because it is at equal distance from previous prime (5346791) and next prime (5346793).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 5 + 3⁹ + 4⁹ + 6⁷ + 7 + 9⁷ + 2¹¹ .

Its product of digits (45360) is a multiple of the sum of its prime divisors (216).

It is not an unprimeable number, because it can be changed into a prime (5346791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33978 + ... + 34134.

It is an arithmetic number, because the mean of its divisors is an integer number (169455).

Almost surely, 2^5346792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5346792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8133840).

5346792 is an abundant number, since it is smaller than the sum of its proper divisors (10920888).

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

5346792 is a wasteful number, since it uses less digits than its factorization.

5346792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 216 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 5346792 is about 2312.3131275846. The cubic root of 5346792 is about 174.8629348514.

The spelling of 5346792 in words is "five million, three hundred forty-six thousand, seven hundred ninety-two".