146821689 has 27 divisors (see below), whose sum is σ = 247128687. Its totient is φ = 83752704.

The previous prime is 146821687. The next prime is 146821699. The reversal of 146821689 is 986128641.

The square root of 146821689 is 12117.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 145805625 + 1016064 = 12075^2 + 1008^2 .

It is not a de Polignac number, because 146821689 - 2¹ = 146821687 is a prime.

It is not an unprimeable number, because it can be changed into a prime (146821687) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 254169 + ... + 254745.

Almost surely, 2^146821689 is an apocalyptic number.

146821689 is the 12117-th square number.

146821689 is the 6059-th centered octagonal number.

It is an amenable number.

146821689 is a deficient number, since it is larger than the sum of its proper divisors (100306998).

146821689 is an frugal number, since it uses more digits than its factorization.

146821689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 587 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The cubic root of 146821689 is about 527.5497301932.

The spelling of 146821689 in words is "one hundred forty-six million, eight hundred twenty-one thousand, six hundred eighty-nine".