361530 has 64 divisors (see below), whose sum is σ = 1048320. Its totient is φ = 88128.

The previous prime is 361523. The next prime is 361531. The reversal of 361530 is 35163.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (361531) by changing a digit.

361530 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 31 ways as a sum of consecutive naturals, for example, 3459 + ... + 3561.

It is an arithmetic number, because the mean of its divisors is an integer number (16380).

2³⁶¹⁵³⁰ is an apocalyptic number.

361530 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 361530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524160).

361530 is an abundant number, since it is smaller than the sum of its proper divisors (686790).

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

361530 is a wasteful number, since it uses less digits than its factorization.

361530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 361530 is about 601.2736481836. The cubic root of 361530 is about 71.2385022998.

Adding to 361530 its reverse (35163), we get a palindrome (396693).

The spelling of 361530 in words is "three hundred sixty-one thousand, five hundred thirty".