348516 has 48 divisors (see below), whose sum is σ = 1034880. Its totient is φ = 99360.

The previous prime is 348487. The next prime is 348527. The reversal of 348516 is 615843.

348516 is nontrivially palindromic in base 13.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 348516.

It is an unprimeable number.

348516 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 526 + ... + 986.

It is an arithmetic number, because the mean of its divisors is an integer number (21560).

2³⁴⁸⁵¹⁶ is an apocalyptic number.

348516 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517440).

348516 is an abundant number, since it is smaller than the sum of its proper divisors (686364).

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

348516 is a wasteful number, since it uses less digits than its factorization.

348516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 473 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 348516 is about 590.3524371085. The cubic root of 348516 is about 70.3732443955.

The spelling of 348516 in words is "three hundred forty-eight thousand, five hundred sixteen".