1630 has 8 divisors (see below), whose sum is σ = 2952. Its totient is φ = 648.

The previous prime is 1627. The next prime is 1637. The reversal of 1630 is 361.

1630 = T₂₃ + T₂₄ + ... + T₂₇.

1630 = 16² + 17² + ... + 20².

It is a sphenic number, since it is the product of 3 distinct primes.

It is a Harshad number since it is a multiple of its sum of digits (10), and also a Moran number because the ratio is a prime number: 163 = 1630 / (1 + 6 + 3 + 0).

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

It is a nialpdrome in base 9 and base 13.

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1637) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 72 + ... + 91.

It is an arithmetic number, because the mean of its divisors is an integer number (369).

2¹⁶³⁰ is an apocalyptic number.

1630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1630 is a deficient number, since it is larger than the sum of its proper divisors (1322).

1630 is a wasteful number, since it uses less digits than its factorization.

1630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170.

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 1630 is about 40.3732584764. The cubic root of 1630 is about 11.7687192190.

Adding to 1630 its reverse (361), we get a palindrome (1991).

The spelling of 1630 in words is "one thousand, six hundred thirty".