146461 has 10 divisors (see below), whose sum is σ = 173662. Its totient is φ = 123480.

The previous prime is 146449. The next prime is 146477. The reversal of 146461 is 164641.

146461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 86436 + 60025 = 294^2 + 245^2 .

It is not a de Polignac number, because 146461 - 2⁹ = 145949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146161) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2371 + ... + 2431.

146461 is a Friedman number, since it can be written as 61*(6+1^4)^4, using all its digits and the basic arithmetic operations.

2¹⁴⁶⁴⁶¹ is an apocalyptic number.

It is an amenable number.

146461 is a deficient number, since it is larger than the sum of its proper divisors (27201).

146461 is an frugal number, since it uses more digits than its factorization.

146461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 68 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

The square root of 146461 is about 382.7022341194. The cubic root of 146461 is about 52.7117374872.

The spelling of 146461 in words is "one hundred forty-six thousand, four hundred sixty-one".