147630 has 64 divisors (see below), whose sum is σ = 437760. Its totient is φ = 31104.

The previous prime is 147629. The next prime is 147647. The reversal of 147630 is 36741.

147630 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an alternating number because its digits alternate between odd and even.

147630 is an undulating number in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 147597 and 147606.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3972 + ... + 4008.

It is an arithmetic number, because the mean of its divisors is an integer number (6840).

2¹⁴⁷⁶³⁰ is an apocalyptic number.

147630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 147630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218880).

147630 is an abundant number, since it is smaller than the sum of its proper divisors (290130).

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

147630 is a wasteful number, since it uses less digits than its factorization.

147630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73.

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 147630 is about 384.2264957027. The cubic root of 147630 is about 52.8516081721.

Subtracting from 147630 its reverse (36741), we obtain a square (110889 = 333²).

It can be divided in two parts, 147 and 630, that added together give a palindrome (777).

The spelling of 147630 in words is "one hundred forty-seven thousand, six hundred thirty".